Department Mathematics, Applied Mathematics II, University of Erlangen, Martensstr 3, 91058 Erlangen, Germany.
J Acoust Soc Am. 2011 Apr;129(4):2168-80. doi: 10.1121/1.3543988.
Today, the prevention and treatment of voice disorders is an ever-increasing health concern. Since many occupations rely on verbal communication, vocal health is necessary just to maintain one's livelihood. Commonly applied models to study vocal fold vibrations and air flow distributions are self sustained physical models of the larynx composed of artificial silicone vocal folds. Choosing appropriate mechanical parameters for these vocal fold models while considering simplifications due to manufacturing restrictions is difficult but crucial for achieving realistic behavior. In the present work, a combination of experimental and numerical approaches to compute material parameters for synthetic vocal fold models is presented. The material parameters are derived from deformation behaviors of excised human larynges. The resulting deformations are used as reference displacements for a tracking functional to be optimized. Material optimization was applied to three-dimensional vocal fold models based on isotropic and transverse-isotropic material laws, considering both a layered model with homogeneous material properties on each layer and an inhomogeneous model. The best results exhibited a transversal-isotropic inhomogeneous (i.e., not producible) model. For the homogeneous model (three layers), the transversal-isotropic material parameters were also computed for each layer yielding deformations similar to the measured human vocal fold deformations.
如今，语音障碍的预防和治疗是一个日益受到关注的健康问题。由于许多职业依赖于口头交流，因此为了维持生计，保持嗓音健康是必要的。常用于研究声带振动和气流分布的模型是由人工硅树脂声带组成的自主维持的喉部物理模型。在考虑制造限制的简化的同时，为这些声带模型选择合适的机械参数是实现真实行为的关键，但也具有挑战性。在本工作中，提出了一种组合实验和数值方法来计算合成声带模型的材料参数。这些材料参数是从切除的人喉的变形行为中得出的。所得的变形被用作跟踪功能的参考位移，以进行优化。材料优化应用于基于各向同性和横向各向同性材料定律的三维声带模型，同时考虑了具有每层均匀材料性质的分层模型和不均匀模型。最佳结果显示出横向各向同性不均匀（即不可生产）模型。对于均匀模型（三层），还计算了每层的横向各向同性材料参数，其变形与测量的人声带变形相似。
